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A 100 L tank is initially filled to the brim with distilled water. An inflow valve...

A 100 L tank is initially filled to the brim with distilled water. An inflow valve allows 0.15 kg/L NaCl brine solution to flow into the tank at a rate of 2 L/min. An outflow valve allows the fluid in the tank to drain out at a rate of 2 L/min. (a) Use conservation of mass to write down a differential equation to describe the mass S of NaCl in the tank as a function of time t. (b) Determine the equilibrium mass of NaCl in the tank, S∗. Is it a stable equilibrium? (c) Write down and solve an IVP to determine the mass S(t) of NaCl at any time t.

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